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109686720 = 263511131747
BaseRepresentation
bin1101000100110…
…10111111000000
321122101122220010
412202122333000
5211034433340
614514544520
72501215233
oct642327700
9248348803
10109686720
1156a08290
1230898140
13199558b0
14107d341a
159969b80
hex689afc0

109686720 has 448 divisors, whose sum is σ = 442423296. Its totient is φ = 22609920.

The previous prime is 109686691. The next prime is 109686743. The reversal of 109686720 is 27686901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333737 + ... + 2333783.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 2109686720 is an apocalyptic number.

109686720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

109686720 is an abundant number, since it is smaller than the sum of its proper divisors (332736576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109686720 is a wasteful number, since it uses less digits than its factorization.

109686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 109686720 is about 10473.1427947871. The cubic root of 109686720 is about 478.6866877444.

The spelling of 109686720 in words is "one hundred nine million, six hundred eighty-six thousand, seven hundred twenty".